## Practice Converting Yards to Miles

It is common to be more familiar with the distance of one mile as opposed to the distance of one yard. Because of this, it is normal that, if we are given a distance in yards, we want to convert it to miles so we have a better idea of how far it is. For instance, if I told you I ran three miles, you would have a rough idea of how far that is. However, if I were to tell you that I ran 5,280 yards, you may have a harder time picturing how far that is.

The following two statements describe the relationship between yards and miles:

- There are 1,760 yards in a mile
- There are 1 / 1,760 = 0.0005681818 miles in a yard

From the second statement we can deduce the following:

- If you have 1 yard, then you have 1 / 1,760 miles
- If you have 2 yards, then you have 2 * (1 / 1,760) = 2 / 1,760 miles
- If you have 3 yards, then you have 3 * (1 / 1,760) = 3 / 1,760 miles

If we were to generalize this pattern, we see that if you have *n* yards, then you have:

We see that to convert yards to miles, we simply need to divide the number of yards by 1,760.

For example, we were wondering how long a football field is in miles. We know that a football field in America is 100 yards long. To figure out how many miles this is, we divide 100 by 1,760. That is:

**100 / 1,760 = 0.056818 miles**

You would need to run quite a few of these to reach a mile: a little over 17 to be exact.

Our other question was how many miles long is the Donghai Bridge. We were given that this bridge is approximately 35,200 yards long. To figure out how many miles this is, we divide 35,200 by 1,760. That is:

**35,200 / 1,760 = 20 miles**

We see that if we were to travel this bridge by car, we will have driven approximately 20 miles.

## More Examples of Conversion

For the first example, assume I will tell you that I am going to go out and run 14,080 yards. How many miles am I going to run?

The solution is the following:

To convert yards to miles, we simply divide by 1,760. Therefore, I am going to run

**14,080 / 1,760 = 8 miles**

Let's work on another example: In 1974, pro golfer Mike Austin achieved the longest recorded PGA Tour drive when he drove a golf ball 515 yards. How far did he hit the ball in miles?

The solution is the following:

To figure out how far he hit the golf ball in miles, we divide the number of yards he hit the ball by 1,760. In doing this, we find that he hit the ball

**515 / 1,760 = 0.2926 miles**

Wow! That's nearly a third of a mile!

## Lesson Summary

It is very common to want to convert yards to miles because we are more used to dealing with miles as a measure of distance than we are with yards as a measure of distance. Performing this conversion is quite easy. We simply take the number of yards we are given and divide it by 1,760. The resulting number gives us the distance in miles. We now have the knowledge to be able to make this conversion anytime we encounter some distance given to us in yards. This allows us to better be able to picture a given distance in our heads.